1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Lorico [155]
2 years ago
13

Find the percent change (Round to the nearest tenth) Original Price $12 Sale Price $10

Mathematics
1 answer:
alex41 [277]2 years ago
8 0

Answer:

16.67 percent

Step-by-step explanation:

12$ to 10$ is a 16.66 percent difference

You might be interested in
Graph the inverse circular function by hand, given f(x) = 3sin(2x) ;-pi/4 ≤ ≤pi/4
nasty-shy [4]

Part a)

a) The given function is

f(x) = 3 \sin(2x)

We let

y =  3 \sin(2x)

Interchange x and y.

x=  3 \sin(2y)

Solve for y;

\frac{x}{3}  =  \sin(2y)

y =  \frac{1}{2}  { \sin}^{ - 1}( \frac{x}{3} )

{f}^{ - 1}(x)  =  \frac{1}{2}  { \sin}^{ - 1}( \frac{x}{3} )

Part b) The range of f(x) refers to y-values for which f(x) exists.

The range of f(x) is

-  3 \leqslant y \leqslant 3

This is because the function is within y=-3 and y=3.

c) The range of

{f}^{ - 1} (x)

is

-  \frac{ \pi}{4}  \leqslant y \leqslant  \frac{\pi}{4}

The domain is -3≤x≤3

This is because the domain and range of a function and its inverse swaps.

Part d) The graph is shown in the attachment.

3 0
3 years ago
The information below is the number of daily emergency service calls made by the volunteer ambulance service of Walterboro, Sout
mafiozo [28]

Answer:

Step-by-step explanation:

Hello!

The variable of interest is

X: The number of emergency service calls made by the volunteer ambulance service of Walterboro, South Carolina for 50 days.

a)

In the first column, you have the possible number of emergency calls made, in the second column, you have the observed absolute frequency (fi) for each value of the variable.

To establish the probability distribution you have to calculate the relative frequency (hi) for each value of X.

The formula for the relative frequency is

hi= fi*n where i= 0, 1, 2, 3, 4

X₁= 0

f₁= 8

h₁= 8/50= 0.16

X₂= 1

f₂= 10

h₂= 0.20

X₃= 2

f₃= 22

h₃= 22/50= 0.44

X₄= 3

f₄= 9

h₄= 9/50= 0.18

X₅= 4

f₅= 1

h₅= 1/50= 0.02

(See attachment)

b)

The variable of interest is a cuantitative discrete variable, so this is an example of a driscrete distribution.

Discrete variables are numerical and take certain numbers within its range of definition, contrary to the continuous variables that can take any value within the range of definition of the variable.

Another example of a discrete variable is "the money", If the variable is "I have at most 10 dollars in my wallet", the range of definition goes from 0 dollars to 10 dollars.

c) To calculate the mean when the data is arranged in a frequency table you have to use the following formula:

X[bar]= ∑Xihi= (0*0.16)+(1*0.2)+(2*0.44)+(3*0.18)+(4*0.02)= 1.7

This means that they expect an average of 1.7 calls per day.

d) The formula for the standard deviation is:

S=\sqrt{\frac{1}{n-1}[sumX^2fi-\frac{(sumXfi)^2}{n} ] }

∑X²fi= (0²*8)+(1²*10)+(2²*22)+(3²*9)+(4²*1)=  195

∑Xfi= (0*8)+(1*10)+(2*22)+(3*9)+(4*1)= 85

S=\sqrt{\frac{1}{49}[195-\frac{(85)^2}{50} ] }= 1.015

I hope this helps!

3 0
2 years ago
Pls help me solve this thank you
Igoryamba

Answer:

x=49

Step-by-step explanation:

5 0
2 years ago
What is the volume of a beach ball with a radius of 13 centimeters?<br>​
tino4ka555 [31]

Answer:

It is 9202.77
(rounded off)

Step-by-step explanation:

Volume=4/3*π*radius^3
The beach ball described is 4/3*π*13^3

6 0
2 years ago
Read 2 more answers
The sales tax in Illinois is 6 1/2%.<br> What would be the tax rate expressed as a decimal
denpristay [2]
Percent means parts out of 100
6 and 1/2%=6.5%=6.5/100=0.65/10=0.065/1=0.065

answer is 0.065
5 0
3 years ago
Other questions:
  • Simplify.<br><br> 6^2+3^2????
    11·2 answers
  • ASAP HELP!! CAN SOMEONE PLS HELP ME WITH 20? U HAVE TO USE 18 and 19 to help you!!! THANK U SM!
    14·1 answer
  • 116.15 round to nearest 10th
    12·1 answer
  • Maya is trying to break or tie the league record for home runs in her softball league. She solved the inequality mc019-1.jpg to
    13·2 answers
  • Y + 1/2 = 7/10 solve for y
    14·2 answers
  • PLEASE HELP ME!I have a really hard time with algebra 2 and I really need to pass:(
    6·1 answer
  • Find the height of a rectangular prism if the surface are is 288 square centimetres and the base has a length of 4 centimetres a
    9·1 answer
  • The expression P(4, 3) is equal to:<br> -3!<br> -4!<br> - 1
    15·1 answer
  • Ground Turkey meat costs 1.29 per pound. how much would 1.08 pounds of turkey meat cost.
    13·1 answer
  • I don’t understand this problem
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!